Canard Explosion and Position Curves

DOI10.1007/978-3-0348-0451-6_4zbMath1314.37036OpenAlexW192476566MaRDI QIDQ5253362

Freddy Dumortier

Publication date: 5 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0451-6_4

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

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• Sharp upperbounds for the number of large amplitude limit cycles in polynomial Liénard systems
• Slow-fast Bogdanov-Takens bifurcations
• Chasse au canard
• Bifurcation of relaxation oscillations in dimension two
• Birth of canard cycles
• Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
• Quadratic Liénard equations with quadratic damping
• Slow divergence integral and balanced canard solutions
• Time analysis and entry-exit relation near planar turning points
• Canard solutions at non-generic turning points
• Canard cycles and center manifolds
• Multiple canard cycles in generalized Liénard equations
• Relaxation oscillation and canard explosion

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